轴盘系统扭振固有频率的精确计算

Exact Computation for Torsional Vibration Natural Frequency of Shaft and Disks System

把带有圆盘的轴分为若干段，对圆盘厚度范围段，可视为一特殊的段，在这一段内，不考虑圆盘的变形，截面极惯性矩就等于轴的截面极惯性矩，转动惯量为轴和盘转动惯量之和。每一段的扭振方程可精确求出，然后，根据边界条件和连续条件可将扭振固有频率计算出来。

In this paper, a shaft with disks is divided into several segments. Within the range of thickness of a disk, deformation of the disk is ignored, the cross section moment of inertia equals one of the shaft, and the rotary inertia equals the sum of the shaft one and the disk one. The torsional vibration equation can be solved exactly in every segment, then the natural frequency is given by using continuous conditions and boundary conditions.